局所慣性方程式の安定性解析の進展

Abstract

Local inertial equations (LIEs) proposed around 2010 have been implemented in many flood simulation models. The authors have studied, using both mathematical and numerical approaches, why LIEs present higher numerical stability over earlier flood simulation models and what explains their numerical stability. This article presents reviews of several individual publications by the authors in terms of 1) comparison between LIEs with diffusive wave equations, 2) effects of the discretization of the friction term, and 3) new discretization schemes maintaining stability and accuracy. This research note documents the research narrative that research networking has led to these research outcomes.